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Finding the Fourth Proportional to 6,237.66, 9,351 and 2,951.70

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Solution

The fourth proportional to 6,237.66, 9,351 and 2,951.70 is: 4,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.66 : 9,351 = 2,951.70 : x
  2. Step 2: Convert to fraction form
    6,237.66/9,351 = 2,951.70/x
  3. Step 3: Cross multiply
    6,237.66x = 9,351 × 2,951.70
  4. Step 4: Simplify right side
    6,237.66x = 27,601,346.70
  5. Step 5: Solve for x
    x = 27,601,346.70/6,237.66
  6. Step 6: Final answer
    x = 4,424.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.